关键词: Navier-Stokes方程, 格子法, 连铸结晶器, 湍流

Abstract: Lattice Boltzmann method, which is different from traditional macroscopic and microscopic models of computational fluid dynamics, is presented. The movement and collision of fluid micelle are controlled by lattice Boltzmann equation and equilibrium distribution functions, and distribution functions of fluid micelle can be solved from lattice Boltzmann equation. Thus physical quantities such as velocity and pressure are interpreted by the statistic sum form of distribution functions. Furthermore, the fluid flow in the 2D central plane of continuous slab casting mold is computed, especially the evolu-tion with time of flow with high Reynolds number is simulated, and the simulated flow patterns are found to be in excellent agreement with the previous experiment results, which show that the turbulent flow with high Reynolds number inside the mold is swirly, asymmetric and unsteady. These results indicate that the fluctuation of quantity has been strengthened as long as Reynolds number is high enough, which destroys the symmet-ric eddy structure, and the fluid flow becomes asymmetric and unsteady.

Key words: Continuous casting mold, Lattice Boltzmann method, Navier-Stokes equations, Turbulent flow